Remark. In [1]} we show that any commutative algebra, any Lie algebra, any associative algebra is weakly associative. In fact the class of weakly associative algebras (associated to \(v=Id+c-\tau _{12}\) ) is the biggest class containing the Lie algebras and the associative algebras such that the \(v\) -deformation of a commutative associative algebra gives a Poisson algebra so quantizations of a Poisson algebra. In [2]}, we show also that the symmetric Leibniz algebras are also weakly associative.
